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Assess your math skills with this activity. Determine if numbers are divisible by 3 and 7, round numbers to the nearest tens and hundreds, find factors and multiples, and use prime factor decomposition. Self-assess your skills and set goals for improvement.
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Starter Activity Have a look at the ‘Heard the Word’ Grid Are there any key words which you know the meaning of now which you didn’t know before?
Level 4 Is this number divisible by 3? How do you know? Is this number divisible by 7? How do you know? Level 3 Round this number to the nearest 10 and then to the nearest 100. 144 Level 5 Is this number a square number? How do you know?
Level 4 Level 3 Level 5 144
Level 5 What is the highest common factor of these numbers? How do you know? Level 5 Write down all of the factors of each of these numbers. How do you know that you haven’t missed any out? Level 5 What is the lowest common multiple of these two numbers. How do you know? 48 & 60 Level 7 Show how you can use prime factor decomposition to find the Highest Common Factor and the Lowest Common Multiple of 48 and 60 Level 6 Express each of these numbers as a product of its prime factors.
Level 5 Level 5 Level 5 48 & 60 Level 6 Level 7
Here come the answers. Highlight or tick the relevant statement on the learning journey.
Level 4 This number is divisible by 3 because 144 ÷ 3 = 48 This number is not divisible by 7 because 7 x 20 = 140 and 7 x 21 = 147 To the nearest 10 = 140 To the nearest 100 = 100 144 Level 4 144 is a square number because 12 x 12 = 144
Level 5 12 is the highest common factor because it is the biggest number which is a factor of both 48 and 60. Level 4 Factors of 48 1 & 48 2 & 24 3 & 16 4 & 12 6 & 8 Factors of 60 1 & 60 2 & 30 3 & 10 4 & 15 5 & 12 6 & 10 Level 5 240 is the lowest common multiple of 48 & 60 48, 96,144, 192 , 240 60, 120, 160, 240 48 & 60 Level 6 2 x 2 x 2 x 2 x 3 = 48 24 x 3 = 48 2 x 2 x 3 x 5 = 60 22 x 3 x 5 Level 7 HCF –2 x 2 x 3 = 12 LCM –2 x 2 x 2 x 2 x 3 x 5
12.18 ÷ 1.03 = 11.8252427184466 11.83 to four significant figures
Self Assessment • Collect back your assessment task and the purple sheet. • Have a look at your learning journey. Your peer has ticked the skills that you have demonstrated in this assessment. • Pick an un-ticked skill as your target and write EBI next to it. • Complete the self assessment boxes on the purple sheet.
